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Finding the Fourth Proportional to 16,682.75, 23,021.82 and 9,129

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Solution

The fourth proportional to 16,682.75, 23,021.82 and 9,129 is: 12,597.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,682.75 : 23,021.82 = 9,129 : x
  2. Step 2: Convert to fraction form
    16,682.75/23,021.82 = 9,129/x
  3. Step 3: Cross multiply
    16,682.75x = 23,021.82 × 9,129
  4. Step 4: Simplify right side
    16,682.75x = 210,166,194.78
  5. Step 5: Solve for x
    x = 210,166,194.78/16,682.75
  6. Step 6: Final answer
    x = 12,597.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.